28-Ni- 60 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.80600E+4 5.94160E+1 2 0 0 42831 1451 1 0.0 0.0 0 0 0 62831 1451 2 1.00000E+0 1.50000E+8 8 0 10 62831 1451 3 1.80000E+3 0.0 1 0 490 932831 1451 4 28-Ni- 60 LANL,ORNL EVAL-SEP97 S.CHIBA,M.B.CHADWICK,LARSON 2831 1451 5 Ch97,Ch99 DIST-SEP 1 REV3- 20010926 2831 1451 6 ----ENDF/B-VI MATERIAL 2831 REVISION 2 2831 1451 7 -----INCIDENT NEUTRON DATA 2831 1451 8 ------ENDF-6 FORMAT 2831 1451 9 2831 1451 10 ******************************************************************2831 1451 11 2831 1451 12 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2831 1451 13 P.G. Young (LANL) 2831 1451 14 2831 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2831 1451 16 MT 102) has been updated for new experimental data at incident 2831 1451 17 neutron energies up to 1 keV. 2831 1451 18 The Q-value for radiative capture was also updated in File 3. 2831 1451 19 Details of these changes are described in Frankel et al. [Fr01]. 2831 1451 20 2831 1451 21 **************************************************************** 2831 1451 22 2831 1451 23 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2831 1451 24 M.B. Chadwick, P.G. Young (LANL), and 2831 1451 25 A.J. Koning (ECN) 2831 1451 26 2831 1451 27 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2831 1451 28 in cooperation with ECN Petten. 2831 1451 29 2831 1451 30 This evaluation provides a complete representation of the 2831 1451 31 nuclear data needed for transport, damage, heating, 2831 1451 32 radioactivity, and shielding applications over the incident 2831 1451 33 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2831 1451 34 here is divided into the region below and above 20 MeV. 2831 1451 35 2831 1451 36 INCIDENT NEUTRON ENERGIES < 20 MeV 2831 1451 37 2831 1451 38 Below 20 MeV the evaluation is based completely on the ENDF/B- 2831 1451 39 VI.5(Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, and 2831 1451 40 Fu. 2831 1451 41 2831 1451 42 INCIDENT NEUTRON ENERGIES > 20 MeV 2831 1451 43 2831 1451 44 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2831 1451 45 includes cross sections and energy-angle data for all 2831 1451 46 significant reactions. The present evaluation utilizes a more 2831 1451 47 compact composite reaction spectrum representation above 20 MeV 2831 1451 48 in order to reduce the length of the file. No essential data for 2831 1451 49 applications is lost with this representation. 2831 1451 50 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2831 1451 51 all reaction data. Production cross sections and emission 2831 1451 52 spectra are given for neutrons, protons, deuterons, tritons, 2831 1451 53 alpha particles, gamma rays, and all residual nuclides produced 2831 1451 54 (A>5) in the reaction chains. To summarize, the ENDF sections 2831 1451 55 with non-zero data above En = 20 MeV are: 2831 1451 56 2831 1451 57 MF=3 MT= 1 Total Cross Section 2831 1451 58 MT= 2 Elastic Scattering Cross Section 2831 1451 59 MT= 3 Nonelastic Cross Section 2831 1451 60 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2831 1451 61 2831 1451 62 MF=4 MT= 2 Elastic Angular Distributions 2831 1451 63 2831 1451 64 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2831 1451 65 Distributions for Emission Neutrons, Protons, 2831 1451 66 Deuterons, Tritons, and Alphas; and Angle- 2831 1451 67 Integrated Spectra for Gamma Rays and Residual 2831 1451 68 Nuclei That Are Stable Against Particle Emission 2831 1451 69 2831 1451 70 The evaluation is based on nuclear model calculations that 2831 1451 71 have been benchmarked to experimental data, especially for n + 2831 1451 72 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2831 1451 73 [Yo92], which utilizes Hauser-Feshbach statistical, 2831 1451 74 preequilibrium and direct-reaction theories. Spherical optical 2831 1451 75 model calculations are used to obtain particle transmission 2831 1451 76 coefficients for the Hauser-Feshbach calculations, as well as 2831 1451 77 for the elastic neutron angular distributions. 2831 1451 78 Cross sections and spectra for producing individual residual 2831 1451 79 nuclei are included for reactions. The energy-angle-correlations 2831 1451 80 for all outgoing particles are based on Kalbach systematics 2831 1451 81 [Ka88]. 2831 1451 82 A model was developed to calculate the energy distributions of 2831 1451 83 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2831 1451 84 energy distributions are represented in the laboratory system in 2831 1451 85 MT=5, MF=6, and are given as isotropic in the lab system. All 2831 1451 86 other data in MT=5,MF=6 are given in the center-of-mass system. 2831 1451 87 This method of representation utilizes the LCT=3 option approved 2831 1451 88 at the November, 1996, CSEWG meeting. 2831 1451 89 Preequilibrium corrections were performed in the course of the 2831 1451 90 GNASH calculations using the exciton model of Kalbach [Ka77, 2831 1451 91 Ka85], validated by comparison with calculations using Feshbach, 2831 1451 92 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2831 1451 93 nuclear data sheets were matched to continuum level densities 2831 1451 94 using the formulation of Gilbert and Cameron [Gi65] and pairing 2831 1451 95 and shell parameters from the Cook [Co67] analysis. Neutron and 2831 1451 96 charged- particle transmission coefficients were obtained from 2831 1451 97 the optical potentials, as discussed below. Gamma-ray 2831 1451 98 transmission coefficients were calculated using the Kopecky-Uhl 2831 1451 99 model [Ko90]. 2831 1451 100 2831 1451 101 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2831 1451 102 2831 1451 103 The neutron total cross section was evaluated based on the 2831 1451 104 least-squares method taking account of the experimental 2831 1451 105 data [Du67, Bo71, St71, Sm79, Fe80, Pe82, Ha82a, Di97]. The data 2831 1451 106 for natural Ni [Di97] was also used because there was not enough 2831 1451 107 data for Ni-60 above 20 MeV. The data for natural Ni were 2831 1451 108 transformed to the Ni-60 cross section according to A*(2/3) law. 2831 1451 109 Result of this estimation was used as the evaluated total cross 2831 1451 110 section data above 20 MeV. 2831 1451 111 2831 1451 112 The evaluated total cross section data (1 to 250 MeV), s-wave 2831 1451 113 strength function [Mu81] and elastic scattering angular 2831 1451 114 distribution data [Bo71, Gu85, Tu73, Ya79] were used to obtain the2831 1451 115 neutron optical potential parameters. The parameter estimation was2831 1451 116 carried out based on Marquart-Bayesian approach [Sm91], where 2831 1451 117 ECIS95 code [Ra96] was used for the optical model calculation. We2831 1451 118 have employed the energy dependence of the optical potential 2831 1451 119 similar to Delaroche's work [De89]. The initial potential 2831 1451 120 parameters were adopted from Koning and Delaroche [Ko97]. A total2831 1451 121 of 7 parameters concerning the central potential depth were 2831 1451 122 estimated with associated covariance matrix, while the geometrical2831 1451 123 parameters were fixed to the result of a similar search for n + 2831 1451 124 Ni-58. Presently obtained potential was used for the calculation 2831 1451 125 of neutron transmission coefficients and DWBA cross sections in 2831 1451 126 the energy region above 20 MeV. Below 20 MeV, the Harper neutron 2831 1451 127 potential [Ha82b] was used for the calculation of transmission 2831 1451 128 coefficients. 2831 1451 129 2831 1451 130 The proton optical potential was also searched to obtain a good 2831 1451 131 description of proton-total reaction cross section as predicted by2831 1451 132 Wellisch-Axen systematic [We96] above 50 MeV. The parameter 2831 1451 133 estimation was carried out by the Marquart-Bayesian approach 2831 1451 134 similar to the neutron OMP, but trying to seek the best parameter 2831 1451 135 to reproduce the reaction cross sections compiled by Carlson 2831 1451 136 [Ca96] and Wellisch values. The experimental data in Carlson 2831 1451 137 [Ca96] was scaled for Ni-60 according to A**(2/3) law. In this 2831 1451 138 search, the geometrical parameters were fixed to be same as the 2831 1451 139 neutron potential. The present potential gives a good description2831 1451 140 of the proton total reaction cross section from 10 MeV to 250 MeV.2831 1451 141 However, after some trial and error to reproduce both the elastic 2831 1451 142 scattering and reaction cross section data for Ni-58, we have 2831 1451 143 employed the following combination of proton potentials: 2831 1451 144 2831 1451 145 0 to 5 MeV : Harper potential [Ha82b] 2831 1451 146 6 to 47 MeV : Koning and Delaroche [Ko97] 2831 1451 147 48 to 260 MeV : Present OMP 2831 1451 148 2831 1451 149 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2831 1451 150 for alpha particles the McFadden-Satchler [Mc66] potential was 2831 1451 151 used; and for tritons the Becchetti-Greenlees [Be71] potential was2831 1451 152 used. The He-3 channel was ignored. 2831 1451 153 2831 1451 154 The direct collective inelastic scattering to the following level 2831 1451 155 in Ni-60 was considered by the DWBA-mode calculation of ECIS95 2831 1451 156 [Ra96]: 2831 1451 157 2831 1451 158 Jpi Ex(MeV) Deformation length 2831 1451 159 2+ 1.331 0.8535 2831 1451 160 2831 1451 161 The deformation length was determined to much the ENDF/B-VI value 2831 1451 162 at 20 MeV. 2831 1451 163 2831 1451 164 Certain nuclear level densities were modified from the default 2831 1451 165 values in accordance with experimental level-density information 2831 1451 166 as follows. The level density of 57Fe was matched to the observed 2831 1451 167 D-0 value by modifying the pairing energy to 0.15 MeV; the level 2831 1451 168 density of the main competition channel, neutron emission to 60Ni,2831 1451 169 was adjusted to match Fischer et al.'s [Fi86] value of 3.85e3+-25%2831 1451 170 at 11 MeV excitation energy, but then increased slightly (a total 2831 1451 171 density increase of 11%) by using a pairing energy of 1.1 MeV, 2831 1451 172 since Haight's alpha production at 14 MeV is approx. 11% smaller 2831 1451 173 than Fischer et al.'s measurements. Production of residual nuclei 2831 1451 174 59Ni and 56Fe, through (n,2n) and (n,na) reactions, become 2831 1451 175 particularly important above 14 MeV. Pairing energies were 2831 1451 176 adjusted to match the level density for 59Ni at the neutron 2831 1451 177 binding energy (D0=12.9 keV), and Fischer et al.'s result for the 2831 1451 178 56Fe level density at 11 MeV. 2831 1451 179 2831 1451 180 The new Haight et al. [Ha97] LANL/WNR 60Ni(n,x alpha) data up to 2831 1451 181 50 MeV was used to benchmark our model calculations [Ch97] - 2831 1451 182 agreement with experiment was good. 2831 1451 183 2831 1451 184 **************************************************************** 2831 1451 185 2831 1451 186 REFERENCES 2831 1451 187 2831 1451 188 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2831 1451 189 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2831 1451 190 Barschall and W. Haeberli, The University of Wisconsin Press, 2831 1451 191 1971) p.682 2831 1451 192 [Bo71] P. Boschung et al, Nucl.Phys. A161, 593 (1971) 2831 1451 193 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2831 1451 194 93 (1996) 2831 1451 195 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2831 1451 196 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2831 1451 197 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2831 1451 198 Driven Technologies: Calculational Method for Heavy Recoils," 2831 1451 199 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2831 1451 200 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2831 1451 201 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2831 1451 202 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2831 1451 203 September 1997, internal Los Alamos National Laboratory memo T-2831 1451 204 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2831 1451 205 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 2831 1451 206 National Laboratory report, LA-UR-99-1222 (1999) 2831 1451 207 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2831 1451 208 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2831 1451 209 Phys. 20, 477 (1967) 2831 1451 210 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2831 1451 211 391 (1989) 2831 1451 212 [Di97] F. Dietrich et al., private communication (1997). 2831 1451 213 [Du67] Yu.V. Dukarevich et al., Nucl.Phys. A92, 433 (1967) 2831 1451 214 [Fe80] M.B. Fedorov et al., 80Kiev, 1, 309(1980) 2831 1451 215 [Fi86] R. Fischer, G. Traxler, M. Uhl at al., Phys Rev C34, 460 2831 1451 216 (1986) 2831 1451 217 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2831 1451 218 National Laboratory Report, LA-13812 (2001). 2831 1451 219 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2831 1451 220 densities of three formalisms on calculated cross sections", 2831 1451 221 personal communication, 1996 (to be published by the IAEA). 2831 1451 222 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2831 1451 223 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2831 1451 224 [Ha82a] J.A. Harvey et al, 82Anterp (1982) p. 856 2831 1451 225 [Ha82b] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2831 1451 226 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2831 1451 227 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2831 1451 228 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2831 1451 229 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2831 1451 230 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2831 1451 231 LA-10248-MS (1985) 2831 1451 232 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2831 1451 233 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2831 1451 234 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2831 1451 235 [Ko97] A. Koning and J.P. Delaroche, private communication. 2831 1451 236 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2831 1451 237 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2831 1451 238 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2831 1451 239 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2831 1451 240 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2831 1451 241 [Pe73] F.G. Perey, private communication (1973) [EXFOR 10342] 2831 1451 242 [Pe82] C.M. Perey et al, report ORNL-5893 (1982) 2831 1451 243 [Pe88] Pedroni et al, Phys.Rev.C 38, 2052 (1988) 2831 1451 244 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2831 1451 245 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2831 1451 246 51363, p.249(1981). 2831 1451 247 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2831 1451 248 Theorique, Saclay, France (personal communication through A. J.2831 1451 249 Koning, 1996). 2831 1451 250 [Sc73] W. Schimmerling et al., Phys.Rev.C 7, 248 (1973) 2831 1451 251 [Sm79] A.B. Smith et al., Nucl.Sci.Eng., 72, 293 (1979) 2831 1451 252 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2831 1451 253 in Nuclear Science and Technology" (American Nuclear Society, 2831 1451 254 1991) 2831 1451 255 [Sm92] A.B. Smith et al., J.Phys.G, 18, 629 (1992) 2831 1451 256 [St71] P. Stoler et al,, 71Knox, 1, 311 (1971) 2831 1451 257 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2831 1451 258 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2831 1451 259 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda, et al., Nucl. 2831 1451 260 Phys. A427, 493 (1984) 2831 1451 261 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2831 1451 262 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2831 1451 263 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2831 1451 264 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2831 1451 265 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2831 1451 266 report LA-12343-MS (1992) 2831 1451 267 2831 1451 268 **************************************************************** 2831 1451 269 2831 1451 270 ENDF/B-VI MOD 2 Revision, July 1991, D.C. Larson, C.M. Perey, 2831 1451 271 D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 272 2831 1451 273 REVISION 1 CHANGES 2831 1451 274 The resonance region from 1.E-5 eV to 450 keV has been changed,2831 1451 275 based on a SAMMY analysis by F. G. Perey of new 60Ni ORELA data 2831 1451 276 up to 100 keV of Harvey, Hill and Perey. This new work reproduces2831 1451 277 the thermal cross sections and includes the small resonances 2831 1451 278 inadvertently left out in the original file. No background 2831 1451 279 cross sections are required in file 3 in the resonance region. 2831 1451 280 Removed elastic transformation matrix. 2831 1451 281 2831 1451 282 **************************************************************** 2831 1451 283 2831 1451 284 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2831 1451 285 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 286 2831 1451 287 This work employed nuclear model codes including the 2831 1451 288 Distorted Wave Born Approximation (DWBA) program DWUCK (1) 2831 1451 289 and the Hauser-Feshbach code TNG (2,3,4). The TNG code provides 2831 1451 290 energy and angular distributions of particles emitted in the 2831 1451 291 compound and pre-compound reactions, ensures consistency among 2831 1451 292 all reactions, and maintains energy balance. Details pertinent 2831 1451 293 to the contents of this evaluation and extensive comparisons of 2831 1451 294 calculations with experimental data can be found in Hetrick (5). 2831 1451 295 2831 1451 296 ----- DESCRIPTION OF FILES 2831 1451 297 (MF-MT) 2831 1451 298 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2831 1451 299 2-151 RESONANCE PARAMETERS -- TAKEN FROM REF (6). THE NEGATIVE 2831 1451 300 ENERGY RESONANCES WERE ADJUSTED BY THE AUTHOR, C. M. PEREY2831 1451 301 TO GIVE THE PROPER THERMAL SCATTERING AND CAPTURE. USING 2831 1451 302 THESE MODIFIED RESULTS, NO BACKGROUND IS REQUIRED IN 3/1 2831 1451 303 IE, THE TOTAL, SCATTERING AND CAPTURE IS GIVEN COMPLETELY 2831 1451 304 BY THE RESONANCE PARAMETERS FROM 1.E-5 EV TO 450 KEV. 2831 1451 305 RESONANCE PARAMETERS ARE FROM A REICH-MOORE ANALYSIS WITH 2831 1451 306 THE CODE SAMMY (REF 7). 2831 1451 307 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2831 1451 308 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 3.9 B, 2831 1451 309 ELASTIC SCATTERING 0.98 B, AND CAPTURE 2.92 B. 2831 1451 310 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2831 1451 311 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2831 1451 312 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2831 1451 313 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2831 1451 314 3-1 TOTAL CROSS SECTION -- FROM 450 KEV TO 1611 KEV THE DATA 2831 1451 315 OF REF (8) WERE USED. FROM 1611 KEV TO 20 MEV THE DATA 2831 1451 316 OF REF (9) WERE USED. SEVERAL LOWER RESOLUTION DATA SETS 2831 1451 317 WERE ENERGY-BINNED AND CHECKED WITH BINNED DATA FROM 8,9. 2831 1451 318 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2831 1451 319 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2831 1451 320 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2831 1451 321 3-28, 3-102, 3-103, 3-104, AND 3-107. 2831 1451 322 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2831 1451 323 .., 3-61, AND 3-91 2831 1451 324 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 325 CODE (2,3,4,5), NO 60NI DATA AVAILABLE. 2831 1451 326 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 327 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN A EMISS 2831 1451 328 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 329 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN P EMISS 2831 1451 330 3-51 TO 3-61 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2831 1451 331 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2831 1451 332 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. CALCULATIONS 2831 1451 333 COMPARED WITH EXTENSIVE EXPERIMENTAL DATA (5). 3-51 CROSS2831 1451 334 SECTIONS ABOVE 4.0 MEV ADJUSTED TO BETTER FIT RECENT 2831 1451 335 MEASURED DATA. 2831 1451 336 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2831 1451 337 CALCULATED). 2831 1451 338 3-102 (N,G) CAPTURE CROSS SECTION TAKEN FROM RESONANCE PARAMETER2831 1451 339 FROM 1.E-5 EV TO 450 KEV. TNG CALCULATIONS WERE 2831 1451 340 NORMALIZED TO THE AVERAGED CROSS SECTION OBTAINED FROM THE2831 1451 341 RESONANCE PARAMETERS FROM 100-450 KEV. THESE NORMALIZED 2831 1451 342 TNG RESULTS WERE USED FROM 450 KEV TO 20 MEV. 2831 1451 343 3-103 (N,P) CROSS SECTIONS FOR EN LESS THAN OR EQUAL TO 12 MEV 2831 1451 344 WERE TAKEN FROM A CURVE DRAWN THROUGH THE DATA OF VONACH 2831 1451 345 ET AL. (10). THIS CURVE WAS CONNECTED TO THE ANL DATA OF 2831 1451 346 GREENWOOD (11) FROM 14.5 TO 15.0 MEV. FROM 15.0 TO 20.0 2831 1451 347 MEV THE DATA OF PAULSEN AND LISKIEN (12) WERE USED 2831 1451 348 AS A GUIDE. THE NEW DATA BY VONACH ET AL. (10) 2831 1451 349 RESULT IN AN INTEGRAL VALUE CLOSE TO THE 2.39 VALUE OF 2831 1451 350 MANNHART (13). 2831 1451 351 3-104 (N,D) CROSS SECTION - ENDF/B-V (14) VALUES WERE NORMALIZED2831 1451 352 TO THE DATA OF GRIMES ET AL. (15). 2831 1451 353 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2831 1451 354 TNG CODE (2,3,4,5). LIMITED DATA OTHER THAN A EMISSION. 2831 1451 355 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2831 1451 356 ELASTIC SCATTERING ARE FROM ENDF/B-V. AGREE WELL WITH DATA2831 1451 357 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2831 1451 358 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2831 1451 359 PARAMETERS IN 2/151. 2831 1451 360 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 361 NEUTRON AND 59NI RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 362 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 363 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2831 1451 364 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 365 THE OUTGOING NEUTRON). COMPARES WELL WITH N EMISSION DATA2831 1451 366 WHEN COMBINED WITH N FROM 6/22, 6/28 AND 6/91. 2831 1451 367 6-22 (N,NA)+(N,AN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 368 NEUTRON, ALPHA, AND 56FE RESIDUAL, AND ENERGY DEPENDENT 2831 1451 369 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2831 1451 370 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 371 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2831 1451 372 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2831 1451 373 ALPHA AND RESIDUAL). 2831 1451 374 6-28 (N,NP)+(N,PN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 375 NEUTRON, P, AND 59CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 376 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 377 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2831 1451 378 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 379 THE OUTGOING NEUTRON). 2831 1451 380 6-51 THROUGH 6-61 INELASTIC SCATTERING EXCITING LEVELS; EACH 2831 1451 381 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2831 1451 382 AND 60NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2831 1451 383 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2831 1451 384 BY DWUCK (1) AND TNG (2,3,4,5)), COMPARED WITH DATA IN (5)2831 1451 385 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2831 1451 386 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 60NI 2831 1451 387 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2831 1451 388 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2831 1451 389 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 390 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2831 1451 391 OUTGOING NEUTRON). 2831 1451 392 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2831 1451 393 AND 60CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 394 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 395 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 396 PRODUCT. COMPARES WELL WITH P EMISSION DATA WHEN COMBINED2831 1451 397 WITH 6/28. 2831 1451 398 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2831 1451 399 AND 57FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 400 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 401 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 402 PRODUCT. COMPARES WELL WITH A EMISSION DATA WHEN COMBINED2831 1451 403 WITH 6/22. 2831 1451 404 12-51 THROUGH 12-61 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2831 1451 405 BY HETRICK ET AL. (5), ARE GIVEN. 2831 1451 406 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2831 1451 407 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2831 1451 408 ASSUMED TO BE ISOTROPIC. 2831 1451 409 15-102 (N,G) CAPTURE; TNG CALCULATED 2831 1451 410 2831 1451 411 -------------------------------------------------------------- 2831 1451 412 UNCERTAINTY FILES 2831 1451 413 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2831 1451 414 REQUIRED BY ENDF/B-VI. 2831 1451 415 2831 1451 416 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 100 EV. FROM 100 2831 1451 417 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2831 1451 418 33-2 FROM 1.E-5 TO 100 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2831 1451 419 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 100 EV TO 2831 1451 420 20 MEV THE FILES ARE DERIVED. 2831 1451 421 33-3 FROM 1.E-5 TO 450 KEV UNCERTAINTIES ARE DERIVED. FROM 4502831 1451 422 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82831 1451 423 33-4 UNCERTAINTIES ARE ALL DERIVED. 2831 1451 424 33-16 COVARIANCES WERE ESTIMATED AS NO DATA AVAILABLE. 2831 1451 425 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2831 1451 426 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM DATA2831 1451 427 AND CALCULATION. 2831 1451 428 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2831 1451 429 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2831 1451 430 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2831 1451 431 ENERGIES, AND CALCULATED RESULTS ABOVE 450 KEV. 2831 1451 432 33-103 COVARIANCES - DATA OF VONACH ET AL. (10) AND CSISRS DATA 2831 1451 433 USED AS A GUIDE. 2831 1451 434 33-104 UNCERTAINTIES ESTIMATED, BASED ON DATA 2831 1451 435 33-107 UNCERTAINTIES EXPLICIT, BASED ON DATA AND TNG RESULTS. 2831 1451 436 ---------------------------------------------------------------- 2831 1451 437 REFERENCES: 2831 1451 438 (1) P.D. Kunz, "DISTORTED WAVE CODE DWUCK72," UNIV. OF 2831 1451 439 COLORADO, UNPUBLISHED (1972). 2831 1451 440 (2) C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) 2831 1451 441 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2831 1451 442 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2831 1451 443 p. 675 2831 1451 444 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2831 1451 445 ORNL/TM-10093 (1986) 2831 1451 446 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2831 1451 447 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2831 1451 448 (6) C.M. Perey, J.A. Harvey, R.L. Macklin, et al., Phys.Rev.C, 2831 1451 449 27, 2556 (1983) 2831 1451 450 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2831 1451 451 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2831 1451 452 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2831 1451 453 (8) J.A. Harvey, ORELA, 80-M NE110 TA TARGET DATA, SENT TO NNDC 2831 1451 454 (9) J.A. Harvey, ORELA, 80-M NE110 BE BLOCK DATA, SENT TO NNDC 2831 1451 455 (10) H. Vonach, M. Wagner, and R.C. Haight, "Neutron cross 2831 1451 456 sections of 58Ni and 60Ni for 8-12 MeV neutrons," private 2831 1451 457 communication, 1989 2831 1451 458 (11) L.R. Greenwood, report DOE-ER-0046-21 (1985) p. 15 2831 1451 459 (12) A. Paulsen, Nukleonik 10, 91 (1967) 2831 1451 460 (13) W. Mannhart, Proc. Fourth ASTM-Euratom Symp. on Reactor 2831 1451 461 Dosimetry, Vol. II, March 22-26, 1982 (1982) p. 637 2831 1451 462 (14) M. Divadeenam, Brookhaven National Laboratory report 2831 1451 463 BNL-NCS-51346 [ENDF-294] (1979) 2831 1451 464 (15) S.M. Grimes, R.C. Haight, K.R. Alvar, et al., Phys.Rev.C 2831 1451 465 19, 2127 (1979) 2831 1451 466 2831 1451 467 ************************ C O N T E N T S *********************** 2831 1451 468 ***************** Program LINEAR (VERSION 2004-1) ***************2831 1451 469 For All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 470 Data Linearized to Within an Accuracy of .100000000 per-cent 2831 1451 471 ***************** Program RECENT (VERSION 2004-1) ***************2831 1451 472 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 473 Data Linearized to within an Accuracy of .100000000 per-cent 2831 1451 474 ***************** Program SIGMA1 (VERSION 2004-1) ***************2831 1451 475 Data Doppler Broadened to 1800.00000 Kelvin 2831 1451 476 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 477 Data Linearized to Within an Accuracy pf .100000000 per-cent 2831 1451 478 ***************** Program FIXUP (Version 2004-1) ****************2831 1451 479 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 480 Corrected Thresholds-----------------------------------------No 2831 1451 481 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 482 Allow Cross Section Deletion---------------------------------No 2831 1451 483 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 484 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 485 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 486 Deleted Duplicate Points-------------------------------------Yes 2831 1451 487 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 488 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 489 Allow Creation of Missing Sections---------------------------No 2831 1451 490 Allow Insertion of Energy Points-----------------------------No 2831 1451 491 Create Uniform Energy Grid-----------------------------------No 2831 1451 492 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 493 **************** Program DICTIN (VERSION 2004-1) ****************2831 1451 494 1 451 587 42831 1451 495 2 151 279 22831 1451 496 3 1 17814 32831 1451 497 3 2 5101 32831 1451 498 3 3 12995 32831 1451 499 3 4 17 12831 1451 500 3 5 9 32831 1451 501 3 16 6 12831 1451 502 3 22 7 12831 1451 503 3 28 7 12831 1451 504 3 51 14 12831 1451 505 3 52 13 12831 1451 506 3 53 12 12831 1451 507 3 54 12 12831 1451 508 3 55 12 12831 1451 509 3 56 11 12831 1451 510 3 57 11 12831 1451 511 3 58 11 12831 1451 512 3 59 11 12831 1451 513 3 60 11 12831 1451 514 3 61 11 12831 1451 515 3 91 11 12831 1451 516 3 102 12933 42831 1451 517 3 103 12 12831 1451 518 3 104 12 12831 1451 519 3 107 123 12831 1451 520 4 2 3747 32831 1451 521 6 5 13370 32831 1451 522 6 16 316 12831 1451 523 6 22 421 12831 1451 524 6 28 413 12831 1451 525 6 51 47 12831 1451 526 6 52 44 12831 1451 527 6 53 7 12831 1451 528 6 54 41 12831 1451 529 6 55 7 12831 1451 530 6 56 41 12831 1451 531 6 57 7 12831 1451 532 6 58 7 12831 1451 533 6 59 7 12831 1451 534 6 60 7 12831 1451 535 6 61 7 12831 1451 536 6 91 1295 12831 1451 537 6 103 819 12831 1451 538 6 107 847 12831 1451 539 12 51 3 12831 1451 540 12 52 3 12831 1451 541 12 53 3 12831 1451 542 12 54 3 12831 1451 543 12 55 3 12831 1451 544 12 56 3 12831 1451 545 12 57 3 12831 1451 546 12 58 3 12831 1451 547 12 59 3 12831 1451 548 12 60 4 12831 1451 549 12 61 3 12831 1451 550 12 102 581 42831 1451 551 14 51 1 12831 1451 552 14 52 1 12831 1451 553 14 53 1 12831 1451 554 14 54 1 12831 1451 555 14 55 1 12831 1451 556 14 56 1 12831 1451 557 14 57 1 12831 1451 558 14 58 1 12831 1451 559 14 59 1 12831 1451 560 14 60 1 12831 1451 561 14 61 1 12831 1451 562 14 102 1 42831 1451 563 15 102 238 12831 1451 564 33 1 26 12831 1451 565 33 2 14 12831 1451 566 33 3 16 12831 1451 567 33 4 9 12831 1451 568 33 16 10 12831 1451 569 33 22 14 12831 1451 570 33 28 14 12831 1451 571 33 51 14 12831 1451 572 33 52 14 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.500000000 405.690000 .620000000 0.0 0.0 2831 2151 601 98046.0000 .500000000 1015.80000 .900000000 0.0 0.0 2831 2151 602 107800.000 .500000000 655.410000 .800000000 0.0 0.0 2831 2151 603 138980.000 .500000000 30.6800000 1.18000000 0.0 0.0 2831 2151 604 156320.000 .500000000 489.960000 .500000000 0.0 0.0 2831 2151 605 161690.000 .500000000 1355.40000 .460000000 0.0 0.0 2831 2151 606 186520.000 .500000000 5348.30000 2.90000000 0.0 0.0 2831 2151 607 197580.000 .500000000 2840.50000 1.20000000 0.0 0.0 2831 2151 608 200520.000 .500000000 9.77110000 .630000000 0.0 0.0 2831 2151 609 251900.000 .500000000 548.000000 1.28000000 0.0 0.0 2831 2151 610 256010.000 .500000000 879.700100 .560000000 0.0 0.0 2831 2151 611 257540.000 .500000000 1758.40000 .380000000 0.0 0.0 2831 2151 612 278850.000 .500000000 216.090000 .410000000 0.0 0.0 2831 2151 613 291820.000 .500000000 134.400000 .690000000 0.0 0.0 2831 2151 614 316910.000 .500000000 2838.00000 1.10000000 0.0 0.0 2831 2151 615 325400.000 .500000000 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30885.4379 19.0384371 30958.5136 18.61658352831 3 1 1823 31007.2307 18.3756406 31104.6650 17.8937709 31153.3822 17.65284542831 3 1 1824 31202.0993 17.4464925 31299.5336 17.0338030 31348.2507 16.82746582831 3 1 1825 31396.9678 16.6492414 31494.4021 16.2928052 31543.1193 16.11459272831 3 1 1826 31591.8364 15.9610613 31689.2707 15.6540091 31786.7049 15.34696772831 3 1 1827 31884.1392 15.0847456 31981.5735 14.8225347 32030.2907 14.69143632831 3 1 1828 32103.3664 14.5217778 32192.4335 14.3150083 32208.4250 14.27788582831 3 1 1829 32280.3868 14.1108434 32304.3740 14.0551674 32331.0265 14.00239232831 3 1 1830 32384.3315 13.8968536 32424.3103 13.8177102 32464.2890 13.73857852831 3 1 1831 32490.9415 13.6858318 32517.5940 13.6330935 32544.2465 13.58036522831 3 1 1832 32570.8990 13.5276492 32597.5515 13.4845672 32617.5409 13.45226842831 3 1 1833 32636.1977 13.4221347 32654.1881 13.3930902 32672.1785 13.36406222831 3 1 1834 32690.1690 13.3350540 32702.1626 13.3157286 32714.1562 13.29641602831 3 1 1835 32725.4835 13.2781899 32736.1445 13.2610500 32746.8055 13.24392632831 3 1 1836 32757.4665 13.2268213 32762.7970 13.2182799 32768.1275 13.21284782831 3 1 1837 32778.7885 13.2020097 32786.7843 13.1939014 32794.7800 13.18581392831 3 1 1838 32802.7758 13.1777504 32808.7726 13.1717211 32815.4358 13.16504262831 3 1 1839 32822.0989 13.1583895 32828.7620 13.1517654 32832.0935 13.14847032831 3 1 1840 32835.4251 13.1475334 32842.0883 13.1456989 32848.7514 13.14391062831 3 1 1841 32853.7487 13.1426049 32858.7460 13.1413341 32863.0771 13.14643902831 3 1 1842 32867.4081 13.1515779 32871.7392 13.1567555 32876.0702 13.16197712831 3 1 1843 32880.4013 13.1672493 32884.7323 13.1725798 32889.0633 13.17797772831 3 1 1844 32893.3943 13.1834541 32896.3927 13.1872985 32899.3911 13.19119232831 3 1 1845 32900.0575 13.1920700 32902.3895 13.2028085 32905.3879 13.21667832831 3 1 1846 32908.3863 13.2306191 32911.3847 13.2446407 32914.3831 13.25875492831 3 1 1847 32917.3815 13.2729757 32919.6470 13.2838011 32920.0468 13.28572552831 3 1 1848 32921.9125 13.3024636 32924.1780 13.3228773 32926.4434 13.34339062831 3 1 1849 32928.7089 13.3640190 32930.9743 13.3847771 32933.2398 13.41968932831 3 1 1850 32935.5052 13.4547737 32937.3709 13.4838188 32939.2366 13.51302082831 3 1 1851 32941.1023 13.5424035 32941.9018 13.5550844 32942.9679 13.58294632831 3 1 1852 32944.8336 13.6319498 32946.2329 13.6688896 32947.6322 13.70601362831 3 1 1853 32949.0314 13.7433459 32949.3645 13.7522912 32950.4306 13.79644032831 3 1 1854 32951.7633 13.8518904 32953.0959 13.9076307 32954.4285 13.96371252831 3 1 1855 32954.9616 13.9863069 32955.7611 14.0368723 32956.7607 14.10039452831 3 1 1856 32957.7601 14.1641985 32958.7596 14.2283411 32959.4925 14.27564962831 3 1 1857 32959.7590 14.2992619 32960.7585 14.3882428 32961.6913 14.47171592831 3 1 1858 32962.1577 14.5136812 32962.5909 14.5639916 32963.4904 14.66894002831 3 1 1859 32964.3900 14.7744383 32964.8230 14.8255054 32965.2895 14.89716312831 3 1 1860 32966.1890 15.0359973 32967.0885 15.1755679 32967.4882 15.23794902831 3 1 1861 32967.9880 15.3363822 32968.8875 15.5144325 32969.4872 15.63379782831 3 1 1862 32969.7871 15.7067066 32970.6865 15.9264429 32971.4861 16.12286862831 3 1 1863 32971.6194 16.1627179 32972.5522 16.4429620 32973.4851 16.72474552831 3 1 1864 32974.4179 17.0670461 32975.3508 17.4111402 32975.4840 17.46053862831 3 1 1865 32976.2836 17.8155275 32977.2164 18.2316517 32977.4829 18.35114192831 3 1 1866 32978.1492 18.6969881 32978.8822 19.0790076 32978.9488 19.11384642831 3 1 1867 32979.6151 19.5074322 32980.5480 20.0608269 32980.7146 20.17198052831 3 1 1868 32981.8140 20.9088715 32982.1471 21.1331821 32982.9134 21.70715262831 3 1 1869 32983.7463 22.3336311 32984.0128 22.5531843 32985.2122 23.54519292831 3 1 1870 32986.4115 24.6326588 32987.2111 25.3601400 32987.6109 25.75459702831 3 1 1871 32989.2100 27.3375889 32989.3433 27.4787087 32991.4755 29.74308652831 3 1 1872 32992.5416 30.8771775 32995.4734 34.0302227 32996.0064 34.60191952831 3 1 1873 32997.6056 36.1953490 32998.4051 36.9885312 32998.9382 37.45452152831 3 1 1874 33000.1376 38.4976669 33000.4041 38.7280956 33001.3369 39.39851642831 3 1 1875 33002.2964 40.0827434 33002.4297 40.1558276 33003.5224 40.74838152831 3 1 1876 33004.0022 41.0049209 33004.9617 41.3616494 33005.4414 41.53621822831 3 1 1877 33005.9745 41.6399719 33007.0406 41.8400137 33007.7708 41.87386622831 3 1 1878 33008.0746 41.8503263 33009.1727 41.7563234 33009.3860 41.70779162831 3 1 1879 33010.2388 41.5065048 33010.5587 41.3837013 33011.7314 40.92441022831 3 1 1880 33011.8380 40.8819078 33012.7975 40.3347252 33013.5571 39.89663262831 3 1 1881 33013.9302 39.6200002 33015.1296 38.7232223 33015.4628 38.47215332831 3 1 1882 33016.3956 37.6346266 33017.4617 36.6719016 33017.7282 36.40261542831 3 1 1883 33019.4606 34.6431197 33019.8604 34.2076770 33023.1920 30.56487422831 3 1 1884 33025.5907 27.9419927 33025.8573 27.6511126 33027.1898 26.27497962831 3 1 1885 33027.8562 25.5887861 33028.7890 24.6968024 33029.8551 23.68080922831 3 1 1886 33029.9884 23.5655241 33031.3210 22.4173984 33031.8541 21.95980682831 3 1 1887 33032.3205 21.5965024 33033.1867 20.9242273 33033.3199 20.82949352831 3 1 1888 33034.3194 20.1214947 33034.5193 19.9803893 33035.0523 19.63799322831 3 1 1889 33035.8186 19.1473823 33035.8519 19.1280634 33036.6515 18.66594592831 3 1 1890 33037.0846 18.4165760 33037.4511 18.2312548 33038.2506 17.82865682831 3 1 1891 33038.9836 17.4610209 33039.0502 17.4327577 33039.8498 17.09497082831 3 1 1892 33040.6494 16.7586537 33040.8826 16.6610074 33041.5822 16.41580862831 3 1 1893 33042.3818 16.1369788 33042.7816 15.9981770 33043.1813 15.88294622831 3 1 1894 33043.9809 15.6535753 33044.6806 15.4537989 33044.7805 15.43032292831 3 1 1895 33045.5801 15.2434178 33046.3796 15.0574595 33046.6462 14.99573482831 3 1 1896 33047.1792 14.8917156 33047.9788 14.7364541 33048.7784 14.61049522831 3 1 1897 33049.5779 14.4852154 33050.5775 14.3294286 33050.6440 14.31912102831 3 1 1898 33051.5769 14.2091945 33052.5764 14.0921756 33053.3093 14.00686202831 3 1 1899 33053.5758 13.9830531 33054.5753 13.8943547 33055.5748 13.80618472831 3 1 1900 33055.9745 13.7711127 33056.5743 13.7315424 33057.5737 13.66602402831 3 1 1901 33058.5732 13.6008661 33059.4394 13.5446799 33059.5726 13.53825822831 3 1 1902 33060.6721 13.4855817 33061.9714 13.4237250 33062.9042 13.37958072831 3 1 1903 33063.2707 13.3676370 33064.5700 13.3256121 33065.8693 13.28386182831 3 1 1904 33067.1686 13.2423503 33068.9010 13.1873215 33069.8338 13.15785982831 3 1 1905 33070.6334 13.1425414 33072.3658 13.1096178 33074.0982 13.07692092831 3 1 1906 33075.8973 13.0431716 33077.6964 13.0096045 33079.4954 12.97619772831 3 1 1907 33080.2283 12.9626446 33081.2944 12.9515585 33083.6931 12.92680302831 3 1 1908 33086.0919 12.9022320 33088.4906 12.8778216 33090.8893 12.85354922831 3 1 1909 33093.2880 12.8293969 33096.2865 12.7993519 33097.2860 12.78938372831 3 1 1910 33099.2849 12.7780173 33102.2833 12.7610882 33105.2817 12.74426372831 3 1 1911 33108.2801 12.7275304 33111.2785 12.7108768 33114.2769 12.69429352831 3 1 1912 33117.2753 12.6777825 33118.3581 12.6742496 33121.6064 12.66372222831 3 1 1913 33125.9374 12.6497703 33130.2684 12.6359021 33134.5994 12.62210622831 3 1 1914 33138.9305 12.6083726 33143.2615 12.5946940 33147.5925 12.58106352831 3 1 1915 33151.9235 12.5674758 33157.3426 12.5577528 33162.7616 12.54808242831 3 1 1916 33168.1807 12.5384583 33173.5997 12.5288761 33179.0187 12.51933172831 3 1 1917 33184.4377 12.5098222 33191.6631 12.4971927 33198.8885 12.48461712831 3 1 1918 33206.1139 12.4720934 33209.7265 12.4658550 33211.9284 12.46448482831 3 1 1919 33218.5338 12.4604157 33224.4053 12.4568371 33230.2768 12.45329682831 3 1 1920 33236.1483 12.4497982 33242.0198 12.4463456 33247.8913 12.44294512831 3 1 1921 33252.2950 12.4404335 33253.7628 12.4396090 33256.6986 12.44316692831 3 1 1922 33261.4692 12.4489972 33265.1389 12.4535216 33268.8086 12.45808522831 3 1 1923 33272.4783 12.4626936 33276.1480 12.4673531 33278.5699 12.47046732831 3 1 1924 33279.8177 12.4753913 33283.4874 12.4899413 33287.1570 12.50457152831 3 1 1925 33290.4230 12.5176723 33292.9551 12.5278933 33293.2854 12.53056692831 3 1 1926 33296.1477 12.5538146 33299.0101 12.5771547 33301.1568 12.59472882831 3 1 1927 33303.3036 12.6123725 33305.1384 12.6275190 33305.4504 12.63232002831 3 1 1928 33307.5971 12.6654429 33309.7439 12.6986717 33311.8906 12.73202082831 3 1 1929 33313.7989 12.7617858 33315.1200 12.7824832 33315.7071 12.79805722831 3 1 1930 33317.6154 12.8488335 33319.0466 12.8870339 33320.4778 12.92535222831 3 1 1931 33321.5786 12.9549288 33321.9090 12.9682873 33323.3401 13.02630512831 3 1 1932 33324.7713 13.0845090 33325.9822 13.1339333 33326.2024 13.14712372831 3 1 1933 33327.1565 13.2044119 33328.4776 13.2839423 33329.7987 13.36374712831 3 1 1934 33330.3859 13.3993412 33330.7896 13.4339247 33331.7804 13.51900462831 3 1 1935 33332.7712 13.6043108 33333.3216 13.6518404 33333.7620 13.70307992831 3 1 1936 33334.7529 13.8186538 33335.7437 13.9345352 33336.2574 13.99480152831 3 1 1937 33336.7345 14.0678878 33337.7252 14.2200506 33338.4592 14.33309662831 3 1 1938 33338.6060 14.3616304 33339.4867 14.5332000 33340.3674 14.70519282831 3 1 1939 33340.6610 14.7626845 33341.2481 14.9075001 33342.1289 15.12526512831 3 1 1940 33342.8628 15.3071682 33343.0096 15.3519164 33343.8903 15.62096842831 3 1 1941 33344.6977 15.8682150 33344.7710 15.8949164 33345.6518 16.21645842831 3 1 1942 33346.3491 16.4715961 33346.5325 16.5502185 33347.5233 16.97590842831 3 1 1943 33348.0004 17.1813524 33348.3307 17.3467510 33349.1380 17.75174712831 3 1 1944 33349.6518 18.0099944 33349.9454 18.1801221 33350.7527 18.64871602831 3 1 1945 33351.3031 18.9687571 33351.5601 19.1357181 33352.3674 19.66103262831 3 1 1946 33352.4040 19.6848877 33353.1747 20.2383345 33353.8719 20.73987922831 3 1 1947 33354.2389 21.0322522 33355.2297 21.8229566 33355.3398 21.91096782831 3 1 1948 33356.2205 22.6827622 33356.8077 23.1982348 33357.5416 23.89694222831 3 1 1949 33358.2755 24.5968421 33358.8626 25.2061059 33360.4774 26.88458642831 3 1 1950 33360.6241 27.0489875 33362.3855 29.0256420 33362.6792 29.35553262831 3 1 1951 33367.8167 35.3616778 33368.5506 36.2181987 33370.0185 37.79663622831 3 1 1952 33370.7525 38.5841101 33371.3396 39.1355911 33372.6607 40.37328652831 3 1 1953 33372.9249 40.6200674 33373.8643 41.3583220 33374.3634 41.74903582831 3 1 1954 33375.0679 42.1888247 33376.1248 42.8452823 33376.1249 42.84534412831 3 1 1955 33377.1817 43.3234965 33377.3579 43.4026034 33378.3560 43.70456712831 3 1 1956 33378.5909 43.7746662 33379.7241 43.9204923 33379.9178 43.94492182831 3 1 1957 33380.1057 43.9681715 33381.1743 43.8879575 33381.7615 43.84155612831 3 1 1958 33382.3486 43.6839879 33383.1706 43.4602533 33383.5816 43.27931162831 3 1 1959 33384.6092 42.8234198 33385.8422 42.0525378 33386.4587 41.66512192831 3 1 1960 33387.1193 41.1451189 33387.9266 40.5072927 33388.4404 40.02807742831 3 1 1961 33389.8349 38.7238996 33390.1284 38.4486753 33392.0366 36.42252572831 3 1 1962 33392.3302 36.1102098 33397.9081 29.7565928 33398.3485 29.25549092831 3 1 1963 33399.4494 28.0676161 33400.5503 26.8812701 33400.9540 26.47981562831 3 1 1964 33402.2751 25.1681167 33402.7521 24.6952844 33403.5962 23.92881692831 3 1 1965 33404.2200 23.3633262 33404.5870 23.0570747 33405.6512 22.17049312831 3 1 1966 33405.6879 22.1399748 33406.8622 21.2501541 33407.1558 21.02807792831 3 1 1967 33407.6695 20.6772139 33408.4768 20.1266785 33408.6236 20.02672212831 3 1 1968 33409.2842 19.6227799 33410.0181 19.1747617 33410.0915 19.13455922831 3 1 1969 33410.8988 18.6931791 33411.3392 18.4528123 33411.7061 18.27359432831 3 1 1970 33412.4768 17.8978149 33412.6603 17.8084947 33413.2475 17.56115382831 3 1 1971 33414.0181 17.2371638 33414.6419 16.9753564 33414.7887 16.92397352831 3 1 1972 33415.5594 16.6547519 33416.3300 16.3860717 33416.6236 16.28388492831 3 1 1973 33417.1006 16.1462625 33417.8712 15.9243752 33418.6052 15.71342032831 3 1 1974 33418.6419 15.7047331 33419.4125 15.5227115 33420.2565 15.32376002831 3 1 1975 33420.6602 15.2288011 33421.2473 15.1163389 33422.2382 14.92701472831 3 1 1976 33422.8620 14.8081060 33423.2290 14.7513993 33424.2198 14.59870022831 3 1 1977 33425.0638 14.4689257 33425.2106 14.4505216 33426.2015 14.32660882831 3 1 1978 33427.1923 14.2029895 33427.2656 14.1938626 33428.1831 14.10275422831 3 1 1979 33429.1739 14.0045903 33430.1647 13.9066254 33430.2014 13.90300372831 3 1 1980 33431.3023 13.8187334 33432.5133 13.7262598 33433.4307 13.65635922831 3 1 1981 33433.7243 13.6399280 33434.9354 13.5723255 33436.1463 13.50488852831 3 1 1982 33437.7610 13.4151707 33438.7150 13.3622836 33439.3756 13.33723962831 3 1 1983 33440.9903 13.2761974 33442.6049 13.2153066 33444.4398 13.14626072831 3 1 1984 33445.7608 13.0966583 33446.4948 13.0779402 33448.5498 13.02568192831 3 1 1985 33450.6048 12.9735489 33452.6599 12.9215207 33454.1278 12.88442462831 3 1 1986 33454.7149 12.8739116 33456.7699 12.8371938 33458.8249 12.80054672831 3 1 1987 33461.2836 12.7567814 33462.4946 12.7352661 33464.1460 12.71463192831 3 1 1988 33467.0084 12.6789552 33469.8708 12.6433546 33472.7331 12.60782102831 3 1 1989 33475.4119 12.5746188 33475.5955 12.5731643 33478.4578 12.55053842831 3 1 1990 33481.3202 12.5279554 33484.5862 12.5022351 33488.2559 12.47338742831 3 1 1991 33491.9256 12.4445874 33495.5953 12.4158285 33497.4300 12.40146832831 3 1 1992 33499.2650 12.3926745 33502.9347 12.3751199 33506.6044 12.35759292831 3 1 1993 33512.1088 12.3313482 33516.7877 12.3090759 33521.4666 12.28683232831 3 1 1994 33524.5858 12.2720176 33528.2554 12.2546060 33530.8243 12.24665902831 3 1 1995 33537.0627 12.2273941 33543.3012 12.2081577 33549.5396 12.18894622831 3 1 1996 33555.7781 12.1697555 33564.4018 12.1432570 33567.8880 12.13255562831 3 1 1997 33571.5577 12.1249434 33578.7136 12.1101168 33585.8695 12.09530482831 3 1 1998 33595.4107 12.0755751 33604.9519 12.0558643 33614.4931 12.03616932831 3 1 1999 33624.0343 12.0164876 33638.3460 11.9869859 33647.1533 11.96884262831 3 1 2000 33650.0890 11.9646373 33661.8320 11.9478274 33679.4465 11.92263082831 3 1 2001 33697.0610 11.8974517 33714.6755 11.8722868 33732.2900 11.84713342831 3 1 2002 33755.7760 11.8136098 33779.2620 11.7800995 33802.7480 11.74659972831 3 1 2003 33826.2340 11.7131079 33855.5915 11.6712526 33861.4630 11.66288322831 3 1 2004 33884.9490 11.6362096 33928.9853 11.5862088 33975.9573 11.53288722831 3 1 2005 34024.3972 11.4779090 34072.8370 11.4229384 34137.4235 11.34965332831 3 1 2006 34202.0100 11.2763755 34225.4960 11.2497313 34277.3654 11.19977822831 3 1 2007 34352.7208 11.1272126 34437.8710 11.0452205 34523.0212 10.96323172831 3 1 2008 34636.5548 10.8539189 34750.0884 10.7446103 34920.3888 10.60528962831 3 1 2009 35090.6892 10.4659746 35204.2228 10.3730991 35431.2900 10.18735362831 3 1 2010 35658.3572 10.0275280 35885.4244 9.86770577 36112.4916 9.707887012831 3 1 2011 36226.0252 9.63789315 36566.6260 9.42791598 36907.2268 9.217943212831 3 1 2012 37247.8276 9.03156106 37588.4284 8.84518292 37929.0291 8.658808842831 3 1 2013 38167.2717 8.53906673 38345.9536 8.44926301 38484.9283 8.379419082831 3 1 2014 38604.0496 8.31955637 38683.4637 8.27965065 38723.1708 8.259698712831 3 1 2015 38802.5849 8.21979826 38862.1455 8.18987663 38921.7061 8.159959762831 3 1 2016 38966.3766 8.13752645 39011.0470 8.11509813 39040.8273 8.100149882831 3 1 2017 39070.6077 8.08520573 39100.3880 8.07026696 39122.7233 8.059067342831 3 1 2018 39145.0585 8.04787267 39166.5373 8.03711299 39186.3033 8.027217562831 3 1 2019 39206.0693 8.01732998 39219.2466 8.01074355 39232.4240 8.004162272831 3 1 2020 39245.6013 7.99758737 39258.7786 7.99102012 39269.9876 7.985441002831 3 1 2021 39279.2284 7.98084739 39288.4691 7.97626013 39297.7098 7.971680332831 3 1 2022 39306.9505 7.96710937 39316.1912 7.96254888 39323.1217 7.959136582831 3 1 2023 39330.0522 7.95573231 39336.9828 7.95233733 39344.4267 7.948703112831 3 1 2024 39352.1273 7.94495940 39357.2610 7.94247416 39362.3947 7.939998722831 3 1 2025 39367.5285 7.93753443 39372.6622 7.93508305 39377.7959 7.932646522831 3 1 2026 39382.4162 7.93046832 39386.5232 7.92854551 39390.6302 7.926637122831 3 1 2027 39394.7372 7.92474520 39398.8441 7.92287225 39402.9511 7.921021092831 3 1 2028 39406.0313 7.91965178 39407.0581 7.91949077 39410.1384 7.919026972831 3 1 2029 39413.2185 7.91858206 39416.0421 7.91819293 39418.8656 7.917824102831 3 1 2030 39421.6892 7.91747823 39424.5127 7.91715852 39427.3363 7.916868712831 3 1 2031 39430.1598 7.91661333 39430.6732 7.91657413 39432.9834 7.918499592831 3 1 2032 39435.8069 7.92089933 39438.1171 7.92290303 39440.4273 7.924948812831 3 1 2033 39442.7375 7.92704343 39445.0476 7.92919524 39446.7803 7.930853192831 3 1 2034 39448.5129 7.93255499 39450.2456 7.93430794 39451.9782 7.936120802831 3 1 2035 39453.7108 7.93800514 39455.1226 7.93960365 39456.3740 7.941076672831 3 1 2036 39457.6253 7.94261151 39458.8767 7.94421935 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